【摘要】 基于锥理论,研究了二阶常微分方程Robin边值问题u″+h(t)u′+f(t,u)=0,t∈(a,b),u(a)=0,u′(b)=0,0<a<b<∞,h∈C([a,b],R),f∈C([a,b]×[0,∞),[0,∞)),正解的存在性.更多还原

【Abstract】 We study the existence of positive solutions for Robin boundary value problemu″+h(t)u’+f(t,u)=0,t∈(a,b),u(a)=0,u’(b)=0,where 0<a<b<∞,h∈C(R)and f∈C(×[0,∞),]0,∞))satisfy suitable conditions.The proofs of our results are based upon the cone theory.更多还原